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Finding the Fourth Proportional to 2,553.86, 3,828.06 and 1,455.86

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Solution

The fourth proportional to 2,553.86, 3,828.06 and 1,455.86 is: 2,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.86 : 3,828.06 = 1,455.86 : x
  2. Step 2: Convert to fraction form
    2,553.86/3,828.06 = 1,455.86/x
  3. Step 3: Cross multiply
    2,553.86x = 3,828.06 × 1,455.86
  4. Step 4: Simplify right side
    2,553.86x = 5,573,096.65
  5. Step 5: Solve for x
    x = 5,573,096.65/2,553.86
  6. Step 6: Final answer
    x = 2,182.23

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